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math.DG2014
Geometric prequantization on the path space of a prequantized manifold
Indranil Biswas, Saikat Chatterjee, Rukmini Dey
Given a compact symplectic manifold , with integral symplectic form, we prequantize a certain class of functions on the path space for . The functions in question are induced…
math.DG2014
Geodesics on path spaces and double category
Saikat Chatterjee
Let be a Riemannian manifold and be the space of all smooth paths on . We describe geodesics on path space . Normal neighbourhood structure on…